find the quantity ������ that maximizes profit if the total revenue, ������(������), and total cost, ������(������) are given in dollars by ������(������)=6������−0.002������2 and ������(������)=200 2.2������, where 0≤������≤3000 units.

Castillo corporation, a manufacturer, reports costs for the year as follows: direct materials used $735,000 wages to line workers 510,000 office rent 26,000 indirect materials used 700,000how much is the total period costs for castillo? $735,000 $510,000 $26,000 $700,000

Atlas manufacturing produces a unique valve, and has the capacity to produce 50,000 valves annually. currently atlas produces 40,000 valves and is thinking about increasing production to 45,000 valves next year. what is the most likely behavior of total manufacturing costs and unit manufacturing costs given this change? a. total manufacturing costs will increase and unit manufacturing costs will also increase. b. total manufacturing costs will stay the same and unit manufacturing costs will stay the same. c. total manufacturing costs will increase and unit manufacturing costs will decrease. d. total manufacturing costs will increase and unit manufacturing costs will stay the same.

Kyle and alyssa paid $1,000 and $4,000 in qualifying expenses for their two daughters jane and jill, respectively, to attend the university of california. jane is a sophomore and jill is a freshman. kyle and alyssa's agi is $135,000 and they file a joint return. what is their allowable american opportunity tax credit after the credit phase-out based on agi is taken into account?